Results 11 to 20 of about 29,381 (154)
From Quantum Automorphism of (Directed) Graphs to the Associated Multiplier Hopf Algebras
Mathematics, 2023 This is a noticeably short biography and introductory paper on multiplier Hopf algebras. It delves into questions regarding the significance of this abstract construction and the motivation behind its creation.
Farrokh Razavinia +1 more
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From left modules to algebras over an operad: application to combinatorial Hopf algebras [PDF]
, 2009 The purpose of this paper is two fold: we study the behaviour of the forgetful functor from S-modules to graded vector spaces in the context of algebras over an operad and derive from this theory the construction of combinatorial Hopf algebras.
Livernet, Muriel
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Integrals in Hopf algebras over rings [PDF]
, 2003 Integrals in Hopf algebras are an essential tool in studying finite dimensional Hopf algebras and their action on algebras. Over fields it has been shown by Sweedler that the existence of integrals in a Hopf algebra is equivalent to the Hopf algebra ...
Lomp, Christian
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Quasisymmetric functions from combinatorial Hopf monoids and Ehrhart Theory [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 We investigate quasisymmetric functions coming from combinatorial Hopf monoids. We show that these invariants arise naturally in Ehrhart theory, and that some of their specializations are Hilbert functions for relative simplicial complexes. This class of
Jacob White
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Some interactions between Hopf Galois extensions and noncommutative rings
Universitas Scientiarum, 2022 In this paper, our objects of interest are Hopf Galois extensions (e.g., Hopf algebras, Galois field extensions, strongly graded algebras, crossed products, principal bundles, etc.) and families of noncommutative rings (e.g., skew polynomial rings, PBW ...
Armando Reyes, Fabio Calderón
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International Journal of Mathematics and Mathematical Sciences, 2010 We introduce a class of noncommutative and noncocommutative weak Hopf algebras with infinite Ext quivers and study their structure. We decompose them into a direct sum of two algebras. The coalgebra structures of these weak Hopf algebras are described by
Dongming Cheng
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On the monoidal invariance of the cohomological dimension of Hopf algebras
Comptes Rendus. Mathématique, 2022 We discuss the question of whether the global dimension is a monoidal invariant for Hopf algebras, in the sense that if two Hopf algebras have equivalent monoidal categories of comodules, then their global dimensions should be equal.
Bichon, Julien
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BMS algebras in 4 and 3 dimensions, their quantum deformations and duals
Journal of High Energy Physics, 2021 BMS symmetry is a symmetry of asymptotically flat spacetimes in vicinity of the null boundary of spacetime and it is expected to play a fundamental role in physics.
Andrzej Borowiec +3 more
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Cuntz Semigroups of Compact-Type Hopf C*-Algebras
Axioms, 2017 The classical Cuntz semigroup has an important role in the study of C*-algebras, being one of the main invariants used to classify recalcitrant C*-algebras up to isomorphism.
Dan Kučerovský
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Finite Cartan Graphs Attached to Nichols Algebras of Diagonal Type
Advances in Mathematical Physics, 2021 Nichols algebras are fundamental objects in the construction of quantized enveloping algebras and in the classification of pointed Hopf algebras by the lifting method of Andruskiewitsch and Schneider. The structure of Cartan graphs can be attached to any
Chen Qian, Jing Wang
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